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Finding the Fourth Proportional to 6,575.04, 9,862.56 and 2,678.76

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Solution

The fourth proportional to 6,575.04, 9,862.56 and 2,678.76 is: 4,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.04 : 9,862.56 = 2,678.76 : x
  2. Step 2: Convert to fraction form
    6,575.04/9,862.56 = 2,678.76/x
  3. Step 3: Cross multiply
    6,575.04x = 9,862.56 × 2,678.76
  4. Step 4: Simplify right side
    6,575.04x = 26,419,431.23
  5. Step 5: Solve for x
    x = 26,419,431.23/6,575.04
  6. Step 6: Final answer
    x = 4,018.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.